# (solved)Question 6 SSC-CGL 2020 March 3 Shift 2

What is the perimeter of an equilateral triangle whose each median is 2√3 cm?

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### Question 6SSC-CGL 2020 Mar 3 Shift 2

What is the perimeter of an equilateral triangle whose each median is 2√3 cm?

### Solution in Brief

Remember: The length of the median of an equilateral triangle of side $\displaystyle a$ is ($\displaystyle a$√3/2)

$\displaystyle \therefore a = 2 \times \frac{\text{median}}{\sqrt 3}$

$\displaystyle \therefore a = 2 \times \frac{2\sqrt 3}{\sqrt 3} = 4\text{ cm}$

$\displaystyle \therefore$ Perimeter = $\displaystyle 3a = 3 \times 4 = 12 \text{ cm}$